Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-02-25
Phys. Rev. B 79, 205118 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
REVTex, 12 pages, 12 figs, accepted in Phys. Rev. B
Scientific paper
10.1103/PhysRevB.79.205118
We consider a one-dimensional mesoscopic quantum ring filled with spinless electrons and threaded by a magnetic flux, which carries a persistent current at zero temperature. The interplay of Coulomb interactions and a single on-site impurity yields a non-trivial dependence of the persistent current on the size of the ring. We determine numerically the asymptotic power law for systems up to 32000 sites for various impurity strengths and compare with predictions from Bethe Ansatz solutions combined with Bosonization. The numerical results are obtained using an improved functional renormalization group (fRG) method. We apply the density matrix renormalization group (DMRG) and exact diagonalization methods to benchmark the fRG calculations. We use DMRG to study the persistent current at low electron concentrations in order to extend the validity of our results to quasi-continuous systems. We briefly comment on the quality of calculated fRG ground state energies by comparison with exact DMRG data.
Gendiar Andrej
Krcmar Roman
Weyrauch Michael
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